The 2018 Tsinghua Mathcamp

Mathematics is fun !

Tsinghua Mathcamp 2018

All truths are easy to understand once they are discovered; the point is to discover them. - Galileo.

The Tsinghua Mathcamp is a summer camp for mathematically talented and strongly motivated
secondary school students from all across China. A highly selected group of students will be invited
to join a four-week rigorous program to explore the art of creative problem solving with masters.
Mathcamp will also oﬀer a great opportunity for students to work on research projects through collaborative discoveries guided by their coaches and teachers.

This year’s Mathcamp promises to be an especially exciting one! First, 2018 will be the Inauguration
Year for the newly created Yau Tsinghua Junior Math Talent Program which has recently been approved by the Chinese Ministry of Education. The program
promises to provide great opportunities for our most talented Mathcampers to join the ranks of top
students around the country to engage in advanced study in mathematics at Tsinghua University.
Students in this program will also participate in research projects by collaborating with world class
mathematicians at Tsinghua and elsewhere.

Second, our talented Mathcampers will get to work with Mathematical Olympiad masters to
sharpen their MO problem solving skills. Mathcampers will also learn how these skills can be applied
to real math research problems. There will be lectures on the powerful use of advanced mathematics to MO problem solving in a four-weekend lecture series. Mathcampers will also be introduced to
some real research works from former Mathematical Olympiad players. The contents include polynomials theories, abstract algebras, algebraic number theory, analysis, combinatorics, topology, cluster
algebras, <Proof from the BOOK> and more.

In addition, we have invited Professor Po-Shen Loh of Carnegie Mellon University
www.math.cmu.edu/~lohp/
to initiate a post-mathcamp Mathematical Olympiad training program for our Mathcampers.
Prof. Loh is renowned for his work in MO coaching both in the USA and internationally.
With his colleagues, he will lead a two-week training session at Tsinghua this summer, right
after the regular classes at Mathcamp.

The 2018 Mathcamp will be held on the Tsinghua University campus in Bejing. The camp is sponsored by the Department of Mathematical Sciences at Tsinghua University, the Yau Mathematical
Sciences Center, and by generous donations from donors in China.

• Time: the 4-week camp will begin on Saturday July 14 and end on Sunday August 12, 2018.

• Mathcamp activities: we expect to run two parallel academic tracks this year. Each track
will run three 1.5-hour classes, 5 days a week, conducted by research mathematicians. in addition, we have a 2-3-hour daily discussion session in small groups led by coaches, who are
advanced graduate students or postdoctoral fellows recruited from China and the U.S. On
weekends, there will be full day Mathematical Olympiad training sessions conducted by Dr.
Luo Wei and Dr. Qiu Yu; classes and discussions are expected to be conducted in English,
though Chinese may be used through an interpreter occasionally. Highlights of the camp feature guest lectures by world-renowned mathematicians including the Fields Medalist Professor
Shing-Tung Yau of Harvard University and the Yau Tsinghua Mathematical Sciences Center.
In addition, Mathcamp may organize weekend excursions to famous institutions and historical
attractions in Beijing。

• Selection criteria: students are recruited on a competitive basis from a group of students
nominated by some of the top high schools from across China. A selected group of math
competition winners will also be invited to apply. About sixty of the very best students, usually
aged 13-16, will be invited to join one of the academic tracks of Mathcamp.

• Tuition fees: as in the last four years, admission to Mathcamp will be oﬀered free of charge
to all qualified students.

[August 5th]There will be a special lecture by Professor Remo Ruffini on Astrophysics at 4:30pm August 9 in Cheng-Yu Tung auditorium.

[July 20th]There is a make up class for Class II in LAI at 3:40pm July 22 Sunday.

[July 20th]There is a one time switch of LAI (Prof. Bong Lian) and ATI (Prof. Han Li) schedule on next Tuesday.

[July 19th]There is a mathcamp colloquium by Prof. Ye Tian of CAS and Morningside Center this afternoon at 5pm in 一教205.
Title: Bernoulli numbers.

[July 16th]There is a lecture on physics for general audience by 季向东. The lecture will be in Chinese. Mathcampers are welcome to attend.
Time and Place: July 16, 2018 at 4:30pm in Cheng-Yu Tung auditorium.

[July 10th]On July 16 Monday, Analysis-Topology I will meet at 8:45am, and Linear Algebra I will meet at 10:45am. Please note that this is a one-time switch only. Class schedules after that remains the same.